TOPOLOGICAL SOLUTION OF BOHMIAN QUANTUM MECHANICS-Reference-Cited by-同舟云学术

TOPOLOGICAL SOLUTION OF BOHMIAN QUANTUM MECHANICS

Published:2009-02-28 Issue:06 Volume:24 Page:453-461
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

SHI XUGUANG¹,YU MING¹,DUAN YISHI²

Affiliation:

1. The Institute of Theoreticle Physics, Chinese Academy of Science, P. O. Box 2735, Beijing 100080, P. R. China

2. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, P. R. China

Abstract

The topological solutions of the De Broglie–Bohm quantum mechanics are presented. Starting from the Schrödinger equation for one particle system and ϕ-mapping topological current theory, the trajectory of the particle is derived explicitly, and can be used as the world line of the particle. The world line is just at the zero point of the wave function and it is shown that the vorticity of the world line can be expressed by Hopf index and Brouwer degree. The evolution of the world line at the bifurcation point is given.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021773230902711X

Reference19 articles.

1. Bohmian histories and decoherent histories

2. Perturbative solutions of Bohmian quantum gravity

3. Nonlocality, Lorentz invariance, and Bohmian quantum theory

4. Absence of chaos in Bohmian dynamics

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